POUR1  Pouring water
Given two vessels, one of which can accommodate a litres of water and the other  b litres of water, determine the number of steps required to obtain exactly c litres of water in one of the vessels.
At the beginning both vessels are empty. The following operations are counted as 'steps':
 emptying a vessel,
 filling a vessel,
 pouring water from one vessel to the other, without spilling, until one of the vessels is either full or empty.
Input
An integer t, 1<=t<=100, denoting the number of testcases, followed by t sets of input data, each consisting of three positive integers a, b, c, not larger than 40000, given in separate lines.
Output
For each set of input data, output the minimum number of steps required to obtain c litres, or 1 if this is impossible.
Example
2 5 2 3 2 3 4Sample output:
2 1
hide comments
Jorge Bernadas:
20090821 21:58:01
I solved it using a graph and a bit of math to prune impossible cases. 

Ankul Garg:
20090629 21:41:11
doesnt seems a graph problem :P go for some mathematics 

zkk:
20090627 00:29:07
Who could tell me the ALGO?

Added by:  adrian 
Date:  20040531 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  An ancient problem, formulated in these words by Mr Tadeusz Ratajczak 